In the article, for the first time we have considered group of electrons radial to atomic nucleus with equal value of orbital quantum number and equal sequence of emergence on subshells. As a result of this consideration, the exclusion orbital principle which regulates distribution of electrons in atom on values of spin has been established. On the basis of this principle, the orbital system of distribution of electrons which adequately corresponds to the valid system installed according to the spectral analysis is developed. From positions of orbital system the new explanation of reasons for deviation of the valid system of distribution of electrons in atom from ideal system of consecutive filling of electron shells has been offered and the nature of the empirical rule is opened. The structure of periodic system is also considered and the explanation of the reasons pair repetition of the periods on number of elements is offered. It is thus shown that borders of the chemical periods are displaced relatively borders of the periods of orbital system on two elements to the left
The new results of the sample average values in different spaces and rules of large numbers for them are given in the article. We also introduced the weighted average values of type I corresponding to the sample, and type II, corresponding to the set of order statistics. The evolution of ideas about the Kemeny distance and the Kemeny median is traced. The modified Kemeny median, convenient for computation and avoiding the effect of the "center of the bagel hole" is proposed. As a generalization of the Kemeny median, we introduced and studied the empirical and theoretical values in the spaces of arbitrary origin. For them, we proved the rules of large numbers
Lead tungstate monocrystals doped by erbium were investigated in this article. Judd-Ofelt intensity parameters, radioactive lifetimes and emission cross-sections were calculated
In the article we have concerned the researched mathematical method for the process of droplet dispersion on a horizontal surface. On the basis of the asymptotical method and the method of the division of variables we have found the approximate analytical solution of the problem
In the article, the goal is a new way to consider some of the processes and phenomena occurring in the Universe and the world around us, to try and answer the question – what is actually a time? To give a contemporary, according to the author, the conceptual apparatus of the categories of space and time. Another goal of the work is to give hypotheses for further developments in the study of the laws of dialectics through existing-relational relations of space objects
The article considers the application of Eidos intellectual technologies for implementation of developed veterinary and medical diagnostics statistical tests without programming in the convenient form for the individual and mass testing, the analysis of the results and development of the individual and group recommendations. It is possible to merge several tests in one supertest
In the article, we have considered the economic-mathematical model of selection of projects targeted programs on the example of the Russian Federation. The article also defines criteria of their distribution. We have proposed the parallel algorithm with the guaranteed estimates of the allocation of graph
We consider the model of the structure of matter, in which elementary particles, atoms and molecules are presented as consisting of preons particles
We consider the model of the structure of electrons and quarks, in which these particles are presented consisting of elementary particles preons. From this model, the theory of electron shells, as a continuation of the quark nuclear shells has been proposed
In the article, the algorithm – a recurrent formula for calculation of determinants of prefractal graphs with the full primers, keeping old edges contiguity in a trajectory was received